Systems Word Problem Practice

1.  The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75
• 5q + 2z = 1.32
  3q + 1z = 0.75
• q + z = 1.32
  q + z = 0.75
• 5q + 2z = 0.75
  3q + 1z = 1.32

Tags

CCSS.8.EE.C.8C

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person.

• 8j + 9b = 80
  10j + 5b = 65
• 8j + 10b = 65
  9j + 5b = 80
• j + b = 80
  9j + 5b = 65
• 8j + 10b = 80
  9j + 5b = 65

Tags

CCSS.8.EE.C.8C

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Tags

CCSS.8.EE.C.8C

Ann and Betty together have $60. Ann has $9 more than twice Betty’s amount. How much money does each have?

• A + B = 60
  2A + B = 9
• A + B = 60
  A + 2B =  9
• A + B = 60
  A = 9b 
• A + B = 60
  A = 2b + 9

Tags

CCSS.8.EE.C.8C

1.  A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many of each type of ticket were sold?

• A + C = 785
  5A + 2C = 3280
• 5A + 2C = 785
  A + C = 3280
• A + C = 785
  2A + 5C = 3280
• 2A + 5C = 785
  A + C = 3280

Tags

CCSS.8.EE.C.8C